tính nhanh các tổng sau: 1/2.1/3+1/3.1/4+1/4.1/5+1/5.1/6
Những câu hỏi liên quan
tính nhanh:
M= 1/2.1/3+1/-3.1/4+1/-4.1/5+1/-5.1/6
tính nhanh
1/2.1/2+1/2.1/3+1/3.1/4+1/4.1/5+1/5.1/6
Lời giải rõ ràng nha mọi người
\(\frac{1}{2}.\frac{1}{2}+\frac{1}{2}.\frac{1}{3}\)\(+\frac{1}{3}.\frac{1}{4}+\frac{1}{4}.\frac{1}{5}+\frac{1}{5}.\frac{1}{6}\)
\(=\frac{1}{4}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}\)
\(=\frac{1}{4}+\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}\right)\)
\(=\frac{1}{4}+\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\right)\)
\(=\frac{1}{4}+\left(\frac{1}{2}-\frac{1}{6}\right)\)
\(=\frac{1}{4}+\frac{1}{3}\)
\(=\frac{7}{12}\)
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HINH NHU BAN VIET NHAM DAU BAI ROI
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\(\frac{1}{1}.\frac{1}{2}+\frac{1}{2}.\frac{1}{3}+\frac{1}{3}.\frac{1}{4}+\frac{1}{4}.\frac{1}{5}+\frac{1}{5}.\frac{1}{6}\)
\(=\frac{1.1}{1.2}+\frac{1.1}{2.3}+\frac{1.1}{3.4}+\frac{1.1}{4.5}+\frac{1.1}{5.6}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\)
\(=1-\frac{1}{6}\)
\(=\frac{5}{6}\)
_Chúc bạn học tốt_
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tinh nhanh
1/2.1/-3+1/-3.1/4+1/4.1/-5+1/-5.1/6
1/2.1/-3+1/-3.1/4+1/4.1/-5+1/-5.1/6 = ?
=-1/2.3-1/3.4-1/4.5-1/5.6
=-(1/2.3+1/3.4+1/4.5+1/5.6)
=-(1/2-1/3+1/3-1/4+1/5-1/6)
=-(1/2-1/6)
=1/6-1/2=-1/3
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3x.(1/1.1/2+1/2.1/3+1/3.1/4+1/4.1/5+1/5.1/6)=3/4
1/2.1/3+1/3.1/4+1/4.1/5+1/5.1/6+1/6.1/7+1/7.1/8+1/8.1/9( Tính giá trị của biểu thức nhé)
\(\frac{1}{2}.\frac{1}{3}+\frac{1}{3}.\frac{1}{4}+\frac{1}{4}.\frac{1}{5}+\frac{1}{5}.\frac{1}{6}+\frac{1}{6}.\frac{1}{7}+\frac{1}{7}.\frac{1}{8}+\frac{1}{8}.\frac{1}{9}\)
\(=\frac{1.1}{2.3}+\frac{1.1}{3.4}+\frac{1.1}{4.5}+\frac{1.1}{5.6}+\frac{1.1}{6.7}+\frac{1.1}{7.8}+\frac{1.1}{8.9}\)
\(=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}\)
\(=\frac{1}{2}-\frac{1}{9}\)
\(=\frac{7}{18}\)
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= 1/2.3+1/3.4+1/4.5+...+1/8.9
= 1/2-1/3+1/3-1/4+...+1/8-1/9
= 1/2-1/9
= 7/18
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A= 1/2.1/3+1/3.1/4+1/4.1/5+1/5.1/6+1/6.1/7+1/7.1/8+1/8.1/9
thực hiện phép tính bằng cách hợp lí nếu có
1/2.1/-3+1/-3.1/4+1/4.1/-5+1/-5.1/6+1/6.1/-7+1/-7.1/8
A=1 .1 + 2.1 + 3.1 + 4.1 +5.1 + 6.1 + ... + 99.1
Tính A giúp mình !